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Finding the Fourth Proportional to 1,493.72, 2,240.72 and 398.10

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Solution

The fourth proportional to 1,493.72, 2,240.72 and 398.10 is: 597.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.72 : 2,240.72 = 398.10 : x
  2. Step 2: Convert to fraction form
    1,493.72/2,240.72 = 398.10/x
  3. Step 3: Cross multiply
    1,493.72x = 2,240.72 × 398.10
  4. Step 4: Simplify right side
    1,493.72x = 892,030.63
  5. Step 5: Solve for x
    x = 892,030.63/1,493.72
  6. Step 6: Final answer
    x = 597.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.